Statistical Assumptions MCQ

What does the graph below indicate about the normality of our data?

Answer

Correct Answer: The P-P plot reveals that the data are normal.

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What is the Shapiro–Wilk test primarily used for? (Hint: You can also use the Kolmogorov–Smirnov test to look at the same thing.)

Answer

Correct Answer: To test whether the distribution of scores deviates from a comparable normal distribution.

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Which of these variables would be considered not to have met the assumptions of parametric tests based on the normal distribution? (Hint: Many statistical tests rely on having data measured at the interval level.)

Answer

Correct Answer: Gender

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The Kolmogorov–Smirnov test can be used to test:

Answer

Correct Answer: Whether scores are normally distributed.

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15,467 people rated how much they liked my textbook on a scale of 1 (it is rubbish) to 10 (I love it). The distribution of scores had a skew of 1.23 (SE = 0.65). Which of the following would be the best way to decide whether the skew is problematic? (Hint: Think about what you know about the central limit theorem.)

Answer

Correct Answer: None of the options, because of the large sample size.

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